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Finding the Fourth Proportional to 5,491.28, 7,574.64 and 4,828.16

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Solution

The fourth proportional to 5,491.28, 7,574.64 and 4,828.16 is: 6,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.28 : 7,574.64 = 4,828.16 : x
  2. Step 2: Convert to fraction form
    5,491.28/7,574.64 = 4,828.16/x
  3. Step 3: Cross multiply
    5,491.28x = 7,574.64 × 4,828.16
  4. Step 4: Simplify right side
    5,491.28x = 36,571,573.86
  5. Step 5: Solve for x
    x = 36,571,573.86/5,491.28
  6. Step 6: Final answer
    x = 6,659.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.